11 citations · 16 across the 12 of their papers we have counts for
12 papers
Optimal pressure approximation for the nonstationary Stokes problem by a variational method in time with post-processing
Mathias Anselmann, Markus Bause, Gunar Matthies +1
We provide an error analysis for the solution of the nonstationary Stokes problem by a variational method in space and time. We use finite elements of higher order for the approxim…
Optimal order FEM for dynamic poroelasticity: Error analysis for equal order elements
Markus Bause, Mathias Anselmann
The numerical approximation of dynamic poroelasticity, modeling flow in deformable porous media, by a family of continuous space-time finite element methods is investigated. Equal…
Benchmark computations of dynamic poroelasticity
Mathias Anselmann, Markus Bause, Nils Margenberg +1
We present benchmark computations of dynamic poroelasticity modeling fluid flow in deformable porous media by a coupled hyperbolic-parabolic system of partial differential equation…
An energy-efficient GMRES-Multigrid solver for space-time finite element computation of dynamic poro- and thermoelasticity
Mathias Anselmann, Markus Bause, Nils Margenberg +1
We present families of space-time finite element methods (STFEMs) for a coupled hyperbolic-parabolic system of poro- or thermoelasticity. Well-posedness of the discrete problems is…
Efficiency of local Vanka smoother geometric multigrid preconditioning for space-time finite element methods to the Navier-Stokes equations
Mathias Anselmann, Markus Bause
Numerical simulation of incompressible viscous flow, in particular in three space dimensions, continues to remain a challenging task. Space-time finite element methods feature the…
Convergence of a continuous Galerkin method for hyperbolic-parabolic systems
Markus Bause, Mathias Anselmann, Uwe Köcher +1
We study the numerical approximation by space-time finite element methods of a multi-physics system coupling hyperbolic elastodynamics with parabolic transport and modeling poro- a…